Answer
$h=5$ cm
Work Step by Step
We use the formula for area of a triangle: $A=\frac{bh}{2}$
Since we are looking for height, we must solve for height. The first step in doing this is multiplying both sides of the equation by $2$: $2\times A=2\times\frac{bh}{2}$
$2A=bh$
Now, we must divide by $b$ on both sides to isolate $h$: $\frac{2A}{b}=h$
Now, we can plug in the values for $A$ and $b$: $h=\frac{2(30)}{12}$
Next, we follow the order of operations to simplify:
First, we simplify above the fraction bar by multiplying: $h=\frac{60}{12}$
Finally, we divide: $h=5$ cm
